Which of the following is the correct Pythagorean Formula?

An advertisement for a popular weight-loss clinic suggests that participants in its new diet program lose, on average, more than

Sedbober [7]

Testing the hypothesis, it is found that:

a)

The null hypothesis is: $H_0: \mu \leq 10$

The alternative hypothesis is: $H_1: \mu > 10$

b)

The critical value is: $t_c = 1.74$

The decision rule is:

If t < 1.74, we do not reject the null hypothesis.
If t > 1.74, we reject the null hypothesis.

c)

Since t = 1.41 < 1.74, we do not reject the null hypothesis, that is, it cannot be concluded that the mean weight loss is of more than 10 pounds.

Item a:

At the null hypothesis, it is tested if the mean loss is of at most 10 pounds, that is:

$H_0: \mu \leq 10$

At the alternative hypothesis, it is tested if the mean loss is of more than 10 pounds, that is:

$H_1: \mu > 10$

Item b:

We are having a right-tailed test, as we are testing if the mean is more than a value, with a significance level of 0.05 and 18 - 1 = 17 df.

Hence, using a calculator for the t-distribution, the critical value is: $t_c = 1.74$ .

Hence, the decision rule is:

If t < 1.74, we do not reject the null hypothesis.
If t > 1.74, we reject the null hypothesis.

Item c:

We have the standard deviation for the sample, hence the t-distribution is used. The test statistic is given by:

$t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}$

The parameters are:

$\overline{x}$ is the sample mean.
$\mu$ is the value tested at the null hypothesis.
s is the standard deviation of the sample.
n is the sample size.

For this problem, we have that:

$\overline{x} = 10.8, \mu = 10, s = 2.4, n = 18$

Thus, the value of the test statistic is:

$t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}$

$t = \frac{10.8 - 10}{\frac{2.4}{\sqrt{18}}}$

$t = 1.41$

Since t = 1.41 < 1.74, we do not reject the null hypothesis, that is, it cannot be concluded that the mean weight loss is of more than 10 pounds.

A similar problem is given at brainly.com/question/25147864

3 0

3 years ago

Given that sec x - tan x=1÷4

solniwko [45]

Answer:Let =tan2

t

=

tan

⁡

x

2

, then cos=1−21+2

cos

⁡

x

=

1

−

t

2

1

+

t

2

and tan=21−2

tan

⁡

x

=

2

t

1

−

t

2

.

Now

1+21−2+21−2(1+)21−21+1−tan2

Step-by-step explanation:

5 0

3 years ago

Noreen can walk 1/3 mile in 12 minutes. What is her average speed in miles per hour?

Ksivusya [100]

Answer:

2 miles per hour

Step-by-step explanation:

12 minutes is .2 hours

1/3 divided by .2 is 1.66666667 round to nearest whole number and get 2

5 0

3 years ago

Read 2 more answers

What is used to locate a point on the coordinate plane?

DiKsa [7]

You can locate any point on the coordinate plane using an ordered pair of numbers.

e.i. (4,2) will be 4 units to the right and 2 units up on the coordinate plane.

5 0

3 years ago

Please help with this question (10a³+20a²-5a)

grigory [225]

Factoring the expression would be 6a(2a^2+4a-1)

8 0

3 years ago